ON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODEL

Abstract

Methods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered. Families of exact solutions are obtained.

Keywords

• nonlinear differential equations
• local infinitesimal symmetries
• invariant solutions
• the k-ε turbulence model